On Monday, January 19, 2015 at 9:46:47 AM UTC-8, Ralf Stephan wrote:
>
> What is "here"? 
>>
>  
> AMD Phenom 3GHz, 8GB RAM, no other big jobs
>

On Intel(R) Core(TM) i7-2600 CPU @ 3.40GHz I'm getting the same times as 
Vincent. That's on 6.5beta4 or 5.

The difference you're reporting is very large. You might want to check your 
sage build. Or otherwise sell your timing results to Intel to finance the 
purchase of another computer.
 

>
> I was wrong in the poly(SR) case. That's even slower than SR.expand():
>
> sage: R.<a1,a2,a3,a4,a5> = PolynomialRing(SR, 'a1,a2,a3,a4,a5')
> sage: %time p=(a1+a2+a3+a4+sqrt(3)*a5)^25
> stopped after a minute
>

 Yes, I would expect that SR is *much* slower for computing in Q(sqrt(3)) 
than PARI is:

sage: K.<sqrt3> = QuadraticField(3)
sage: s=sqrt(3)
sage: %timeit (sqrt3+1)^25
100000 loops, best of 3: 5.32 µs per loop
sage: %timeit ((s+1)^25).expand()
100 loops, best of 3: 5.85 ms per loop


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